Permutations & Combinations Calculator

Select permutations or combinations based on whether order matters.

Order matters - Arrangements where sequence is important

Order doesn't matter - Selections where sequence is irrelevant

Permutations vs Combinations: What’s the Difference?

The fundamental difference lies in whether the order of items matters.

Imagine a combination lock — the code 1-2-3 is different from 3-2-1.

Keywords

Arrange, Schedule, Order, Sequence

Formula

nPr = n! / (n-r)!

Imagine a fruit salad — mixing apples, bananas, and grapes is the same regardless of order.

Keywords

Select, Choose, Group, Sample

Formula

nCr = n! / (r! × (n-r)!)